A Problem of Geometry in R n
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Publication:3851234
DOI10.2307/2042758zbMath0418.52013OpenAlexW2094116098MaRDI QIDQ3851234
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Publication date: 1979
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2042758
Related Items (43)
Geometric permutations and common transversals ⋮ Bounding the piercing number ⋮ Fractional Turan's theorem and bounds for the chromatic number ⋮ A note on the colorful fractional Helly theorem ⋮ Helly-type theorems for the diameter ⋮ Improved bounds on the Hadwiger-Debrunner numbers ⋮ Intersection properties of boxes. I: An upper-bound theorem ⋮ Helly-gap of a graph and vertex eccentricities ⋮ Carathéodory's theorem in depth ⋮ Quantitative Tverberg theorems over lattices and other discrete sets ⋮ Piercing convex sets ⋮ Radon numbers grow linearly ⋮ A Tverberg-type result on multicolored simplices ⋮ Further consequences of the colorful Helly hypothesis ⋮ Fractional Helly theorem for Cartesian products of convex sets ⋮ Theorems of Carathéodory, Helly, and Tverberg without dimension ⋮ Intersection patterns of planar sets ⋮ Berge's theorem, fractional Helly, and art galleries ⋮ Combinatorial generalizations of Jung's theorem ⋮ Helly’s theorem: New variations and applications ⋮ Nerves, minors, and piercing numbers ⋮ Helly-Type Theorems in Property Testing ⋮ Large cliques in hypergraphs with forbidden substructures ⋮ A fractional Helly theorem for boxes ⋮ Quantitative fractional Helly and \((p,q)\)-theorems ⋮ Quantitative combinatorial geometry for continuous parameters ⋮ Colourful and fractional \((p,q)\)-theorems ⋮ Positive-fraction intersection results and variations of weak epsilon-nets ⋮ Piercing convex sets and the Hadwiger-Debrunner \((p,q)\)-problem ⋮ On order types of systems of segments in the plane ⋮ Radon numbers and the fractional Helly theorem ⋮ Quantitative combinatorial geometry for concave functions ⋮ A variant of the Hadwiger-Debrunner \((p,q)\)-problem in the plane ⋮ A note on smaller fractional Helly numbers ⋮ Arcs on the circle and p-tuplets on the line ⋮ Intersection patterns of convex sets ⋮ NEW RESULTS FOR T ( k )‐FAMILIES IN THE PLANE ⋮ The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg ⋮ Dimension gaps between representability and collapsibility ⋮ Further Consequences of the Colorful Helly Hypothesis ⋮ Helly-type problems ⋮ Transversal numbers for hypergraphs arising in geometry ⋮ A fractional Helly theorem for convex lattice sets
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